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A distributional study of discrete classical orthogonal polynomials

✍ Scribed by A.G. García; F. Marcellán; L. Salto

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
527 KB
Volume
57
Category
Article
ISSN
0377-0427

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📜 SIMILAR VOLUMES

New Characterizations of Discrete Classi
New Characterizations of Discrete Classical Orthogonal Polynomials
✍ K.H. Kwon; D.W. Lee; S.B. Park 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 358 KB

We prove that if both [P n (x)] n=0 and [{ r P n (x)] n=r are orthogonal polynomials for any fixed integer r 1, then [P n (x)] n=0 must be discrete classical orthogonal polynomials. This result is a discrete version of the classical Hahn's theorem stating that if both [P n (x)] n=0 and [(dÂdx) r P n